1. 9.2 Factors and Prime Factorization
Objective: student will identify factors of numbers and be able to identify composite vs prime factors. They will also be able to demonstrate how to write a number as being prime factored.

2. Factors Ex: Factors of 24 Ex: Factors of 45
Factors: whole numbers multiplied together to get another number.
Ex: Factors of 24
Ex: Factors of 45

3. Examples
Write all factors of 30.
Write all factors for 63

4. 2 types of numbers Prime number: Composite number:
Whole number greater than 1
2 factors: 1 and itself
Ex: 2, 3, 5, 11
1 x 2
1 x 3
1 x 5
1 x 17
Composite number:
Whole number greater than 1
Number that has more than 2 factors
Ex: 6
1 x 6 and 2 x 3
1, 2, 3, 6

5. Prime/Composite Ex: are the numbers prime or composite?24 41 51 89

6. Prime/Composite Ex: are the numbers prime or composite?32
106 59 83
101
175

7. Prime Factorization
Prime factorization: written as product of prime numbers.
Factor tree: diagram helps write prime factorization.
Write the prime factorization for 56 56

8. Prime Factorization Ex.
Write the prime factorization for 36. 36
Write the prime factorization for 16 16

9. Factoring Monomials Monomial: To factor: Ex: Factor 15n3 15n3
Product of numbers/variables
One or more variables raised to a power.
Ex: 32m2x4
To factor:
Prime factor number
Variables must have exponents of 1
Ex: Factor 15n3
15n3

10. Factoring Monomials Ex.
35xy2
-21ab
40m2n
2x3y3

11. Wrap-up
Questions/Concerns?
IC/HW: workbook pg. 117